Estimates for normal meromorphic functions
Share

# Estimates for normal meromorphic functions

• ·

Written in English

### Subjects:

• Functions, Meromorphic.

## Book details:

Edition Notes

Includes bibliographical references.

Classifications The Physical Object Statement by Ch. Pommerenke. Series Annales academiae scientarium Fennicae. Series A. I: Mathematica, 476 LC Classifications Q60 .H5232 no. 476, QA331 .H5232 no. 476 Pagination 10 p. Number of Pages 10 Open Library OL5030095M LC Control Number 73863528

A meromorphic function is allowed to take the value $\infty$ (this is an unsigned complex infinity), while a holomorphic function is not. Since infinite values are allowed but not required, every holomorphic function is meromorphic, but not the other way around. (It is standard to say that the function is undefined rather than that its value is infinite, but it's important that the limit be. Argument estimates of certain meromorphic functions associated with the generalized Bessel function Article (PDF Available) in Bollettino dell Unione Matematica Italiana 9(4) March with. So, a meromorphic function with the domain of the problem statement can have an essential singularity. $\endgroup$ – user May 14 '14 at $\begingroup$ @PaulHurst, perhaps you mean that meromorphic functions cannot have essential singularities in their domains? $\endgroup$ – user May 14 '14 at In complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all D except a set of isolated points, which are poles for the function.. Subcategories. This category has only the following subcategory.